Finding the Fourth Proportional to 1,171.69, 1,757.63 and 522.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.69 : 1,757.63 = 522.25 : x
2. Step 2: Convert to fraction form
   1,171.69/1,757.63 = 522.25/x
3. Step 3: Cross multiply
   1,171.69x = 1,757.63 × 522.25
4. Step 4: Simplify right side
   1,171.69x = 917,922.27
5. Step 5: Solve for x
   x = 917,922.27/1,171.69
6. Step 6: Final answer
   x = 783.42